Ryan ASCII notation: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2016-03-10 06:03:45 UTC</tt>.

: This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2016-03-10 06:04:37 UTC</tt>.

: The original revision id was <tt>~~577099845~~</tt>.

: The original revision id was <tt>577099903</tt>.

: The revision comment was: <tt></tt>

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**Abstract:**

Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. ~~This~~ paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.

Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. The paper (link above) provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.

**Key features:**

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<ul><li>Preprint: <a class="wiki_link_ext" href="http://arxiv.org/pdf/1508.07739" rel="nofollow">http://arxiv.org/pdf/1508.07739</a></li></ul>

Abstract:

Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. ~~This~~ paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.

Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. The paper (link above) provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.

Key features:

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2016-03-10 06:03:45 UTC</tt>.<br>
+: This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2016-03-10 06:04:37 UTC</tt>.<br>
-: The original revision id was <tt>577099845</tt>.<br>
+: The original revision id was <tt>577099903</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 13: / Line 13: @@
 **Abstract:**
-Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. This paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.
+Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. The paper (link above) provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.
 **Key features:**
@@ Line 117: / Line 117: @@
 &lt;ul&gt;&lt;li&gt;Preprint: &lt;!-- ws:start:WikiTextUrlRule:113:http://arxiv.org/pdf/1508.07739 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/pdf/1508.07739" rel="nofollow"&gt;http://arxiv.org/pdf/1508.07739&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:113 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
 &lt;strong&gt;Abstract:&lt;/strong&gt;&lt;br /&gt;
-Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. This paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.&lt;br /&gt;
+Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. The paper (link above) provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described. Also the differences between exact note names and note names up to octave equivalence are discussed.&lt;br /&gt;
 &lt;br /&gt;
 &lt;strong&gt;Key features:&lt;/strong&gt;&lt;br /&gt;

Ryan ASCII notation: Difference between revisions

Wikispaces>daveryan23